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Research Papers: Ocean Engineering

Burial and Scour of Short Cylinders and Truncated Cones Due to Long-Crested and Short-Crested Nonlinear Random Waves Plus Currents

[+] Author and Article Information
Muk Chen Ong

Department of Mechanical and Structural,
Engineering and Materials Science,
University of Stavanger,
Stavanger NO-4036, Norway
e-mail: muk.c.ong@uis.no

Dag Myrhaug

Department of Marine Technology,
Norwegian University of
Science and Technology,
Trondheim NO-7491, Norway
e-mail: dag.myrhaug@ntnu.no

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received March 17, 2016; final manuscript received December 26, 2017; published online February 13, 2018. Assoc. Editor: Ioannis K. Chatjigeorgiou.

J. Offshore Mech. Arct. Eng 140(3), 031105 (Feb 13, 2018) (9 pages) Paper No: OMAE-16-1030; doi: 10.1115/1.4038938 History: Received March 17, 2016; Revised December 26, 2017

This paper provides a practical stochastic method by which the burial and scour depths of short cylinders and truncated cones exposed to long-crested (two-dimensional (2D)) and short-crested (three-dimensional (3D)) nonlinear random waves plus currents can be derived. The approach is based on assuming the waves to be a stationary narrow-band random process, adopting the Forristall second-order wave crest height distribution representing both 2D and 3D nonlinear random waves. Moreover, the formulas for the burial and the scour depths for regular waves plus currents presented by previous published work for short cylinders and truncated cones are used.

FIGURES IN THIS ARTICLE
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Copyright © 2018 by ASME
Topics: Waves , Cylinders , Currents
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References

Whitehouse, R. J. S. , 1998, Scour at Marine Structures. A Manual for Practical Applications, Thomas Telford, London, Chap. 7. [CrossRef]
Sumer, B. M. , and Fredsøe, J. , 2002, The Mechanics of Scour in the Marine Environment, World Scientific, Singapore, Chap. 1. [CrossRef]
Myrhaug, D. , and Ong, M. C. , 2009, “ Burial and Scour of Short Cylinders Under Combined Random Waves and Currents Including Effects of Second Order Wave Asymmetry,” Coastal Eng., 56(1), pp. 73–81. [CrossRef]
Catano-Lopera, Y. A. , and Garcia, M. H. , 2006, “ Burial of Short Cylinders Induced by Scour Under Combined Waves and Currents,” J. Waterw., Port, Coastal Ocean Eng., 132(6), pp. 439–449. [CrossRef]
Catano-Lopera, Y. A. , and Garcia, M. H. , 2007, “ Geometry of Scour Hole Around, and the Influence of the Angle of Attack on the Burial of Finite Length Cylinders Under Combined Flows,” Ocean Eng., 34(5–6), pp. 856–869. [CrossRef]
Catano-Lopera, Y. A. , Landry, B. J. , and Garcia, M. H. , 2011, “ Scour and Burial Mechanics of Conical Frustums on a Sandy Bed Under Combined Flow Conditions,” Ocean Eng., 38(10), pp. 1256–1268. [CrossRef]
Voropayev, S. I. , Testik, F. Y. , Fernando, H. S. J. , and Boyer, D. L. , 2003, “ Burial and Scour Around a Short Cylinder Under Progressive Shoaling Waves,” Ocean Eng., 30(13), pp. 1647–1667. [CrossRef]
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Guyonic, S. , Mory, M. , Wever, T. F. , Ardhuin, F. , and Garland, T. , 2007, “ Full-Scale Mine Burial Experiments in Wave and Current Environments and Comparison With Models,” IEEE J. Oceanic Eng., 32(1), pp. 119–132. [CrossRef]
Mayer, L. A. , Raymond, R. , Clang, G. , Richardson, M. D. , Traykovski, P. , and Trembanis, A. C. , 2007, “ High-Resolution Mapping of Mines and Ripples at the Martha's Vineyard Coastal Observatory,” IEEE J. Oceanic Eng., 32(1), pp. 133–149. [CrossRef]
Forristall, G. Z. , 2000, “ Wave Crest Distributions: Observations and Second-Order Theory,” J. Phys. Oceanogr., 30, pp. 1931–1943. [CrossRef]
Myrhaug, D. , Holmedal, L. E. , Simons, R. R. , and MacIver, R. D. , 2001, “ Bottom Friction in Random Waves Plus Current Flow,” Coastal Eng., 43(2), pp. 75–92. [CrossRef]
Soulsby, R. L. , 1997, Dynamics of Marine Sands. A Manual for Practical Applications, Thomas Telford, London, Chap. 4.
Dean, R. G. , and Dalrymple, R. A. , 1984, Water Wave Mechanics for Engineers and Scientists, Prentice Hall, Englewood Cliffs, NJ.
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Myrhaug, D. , and Ong, M. C. , 2011, “ Random Wave-Induced Scour Around Marine Structures Using a Stochastic Method,” Marine Technology and Engineering, C. Guedes Soares , Y. Garbatov , N. Fonseca , and A. P. Texeira , eds., CRC Press, Boca Raton, FL.
Myrhaug, D. , and Holmedal, L. E. , 2011, “ Bottom Friction and Erosion Beneath Long-Crested and Short-Crested Nonlinear Random Waves,” Ocean Eng., 38(17–18), pp. 2015–2022. [CrossRef]

Figures

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Fig. 1

Definition sketch of the burial depth (B) of a short cylinder (Drawn based on Catano-Lopera and Garcia [4])

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Fig. 2

Definition sketch of the lengths, (Lst, Lsu, Lsd) and the width (W) of the scour hole around a short cylinder (Drawn based on Catano-Lopera and Garcia [5])

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Fig. 3

Definition sketch of the burial depth (Bd), the scour width (Ws), and the scour length (Lsd, Lsu) of the scour hole around a truncated cone (Drawn based on Catano-Lopera et al. [6])

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Fig. 4

Isocurves for the ratios R1 and R2 for the burial depth B versus S1 and UR for n = 10, d = 0.25: (a) R1 for 2D waves, (b) R1 for 3D waves, and (c) R2. Note that t = 0.4 + 0.4(2 − 0.25) = 1.1

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Fig. 5

Expected burial depth for linear, 2D and 3D random waves plus current versus Urms/(Urms + Uc) under (a) KCrms = 10 and (b) KCrms = 20

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Fig. 6

Ratios of burial depth versus KCrms

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Fig. 7

Expected total length of scour hole versus KCrms

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Fig. 8

Ratios of total length of scour hole versus KCrms

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